Free Printable Eq of straight lines and circles review

1.

Find the slope of the line that passes through:
(2, 4) and (6, 12)

a)

1/2

b)

-1/2

c)

2

d)

-2

2.

Find the slope of the line that passes through:
(6,7) and (4,2)

a)

2/5

b)

-5/2

c)

5/2

d)

-1/2

3.

What is the equation of a line parallel to

𝑦=\frac{1}{4}𝑥+7

a)

$y=-\frac{1}{4}x$

b)

$y=4x$

c)

$y=-4x$

d)

$y=\frac{1}{4}x$

4.

What is the equation of a line perpendicular to

𝑦=8𝑥+4

a)

$y=-\frac{1}{8}x$

b)

$y=8x$

c)

$y=-8x$

d)

$y=\frac{1}{8}x$

5.

What is the equation of a line parallel to

𝑦=-\frac{1}{12}𝑥−4

a)

$y=-\frac{1}{12}x$

b)

$y=12x$

c)

$y=-12x$

d)

$y=\frac{1}{12}x$

6.

What is the equation of a line perpendicular to

𝑦=−8𝑥−8

a)

$y=-\frac{1}{8}x$

b)

$y=8x$

c)

$y=-8x$

d)

$y=\frac{1}{8}x$

7.

Find the distance between the points (4, 3) and (0, 6).

a)

3

b)

4

c)

5

d)

7

8.

What is the midpoint between (3, -1) and (7, -5)

a)

(5, -2)

b)

(10, -6)

c)

(5, -3)

d)

(2, -2)

9.

The following represents slopes of two lines. Which answer choice describes the two lines?
m = 5 and m = -1/5

a)

Parallel

b)

Perpendicular

c)

Neither

10.

The following represents slopes of two lines. Which answer choice describes the two lines?
m = -1/3 and m = -1/3

a)

Parallel

b)

Perpendicular

c)

Neither

11.

Find the equation of the straight line with slope 2 passing through (-3, 4) .

a)

$2x-y-2=0$

b)

$2x-y-10=0$

c)

$2x-y+2=0$

d)

$2x-y+10=0$

12.

Find the equation of the straight line passing through A(10, -2) and B(4, 1) .

a)

$x+2y-6=0$

b)

$x+2y-9=0$

c)

$x+14y+12=0$

d)

$x+14y+18=0$

13.

In the equation (x+2)²+(y-3)²=4, the radius of the circle is...

a)

4

b)

2

c)

3

d)

16

14.

In the equation
(x-3)²+(y-2)²=16, the center of the circle is...

a)

(3,2)

b)

(-3, -2)

c)

(-2, -3)

d)

(2, 3)

15.

Write the equation of a circle with center (7, 0) with radius 3.

a)

(x - 7)² + y² = 9

b)

x² + (y -7)² = 9

c)

(x - 7)² + y² = 3

d)

x² + (y -7)² = 3

16.

What is the equation for the circle, if it has diameter endpoints at (3,-4) and (-5,-4)?

a)

(x+1)² + (y-4)² = 4

b)

(x+1)² + (y+4)² = 16

c)

(x-1)² + (y-4)² = 16

d)

(x+1)² + (y+4)² = 4

17.

The endpoints of a diameter of a circle are (3,1) and (9,5).Find the equation of the circle?

a)

(x−6)²+(y−3)²=13

b)

(x−3)²+(y−6)²=13²

c)

(x−5)²+(y−9)²=13

d)

(x−9)²+(y−5)²=169/4

18.

A circle has the equation
x² + y² - 12x + 8y + 3 = 0. Write the equation in standard form.

a)

(x - 6)² + (y + 4)² = 49

b)

(x + 4)² + (y - 6)² = 49

c)

(x - 6)² + (y + 4)² = 55

d)

x² + y² = 55

19.

Change the following equation to standard form
x²+y²-4x+12y-8=0

a)

(x+2)²+(y-6)²=48

b)

(x-2)²+(y+6)²=48

c)

(x-6)²+(y-2)²=48

d)

(x+2)²+(y-6)²=48

Eq of straight lines and circles review

Total questions: 19

Worksheet time: 18mins

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